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Finding the Third Proportional to 117,688 and 259,130

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Solution

The third proportional to 117,688 and 259,130 is: 570,562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,688 : 259,130 = 259,130 : x
  2. Step 2: Convert to fraction form
    117,688/259,130 = 259,130/x
  3. Step 3: Cross multiply
    117,688x = 259,130 × 259,130
  4. Step 4: Simplify right side
    117,688x = 67,148,356,900
  5. Step 5: Solve for x
    x = 67,148,356,900/117,688
  6. Step 6: Final answer
    x = 570,562.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.